Superconductivity in the copper-oxide ceramics remains a grand challenge in theoretical physics because of the paucity of tools to treat strongly coupled systems. In the context of the cuprates, the failure of the single-particle paradigm appears in the form of the Mott problem. I will show that breaking an overlooked local-in-momentum space $\mathbb Z_2$ symmetry of a Fermi liquid provides a missing ingredient for a new Mott fixed point. I will show how the resultant model can be generalized to simulate the Hubbard model. In particular, I will show that it offers a new computational approach to Hubbard physics. It recovers the Bethe ansatz results in $d=1$ and the $d=\infty$ solutions as well and compares well with``accepted'' results in d=2, where no exact results are known.